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17068957920 = 2532572241907
BaseRepresentation
bin11111110010110001…
…11010000011100000
31122001120020220101200
433321120322003200
5234424123123140
611501423001200
71142661514500
oct177130720340
948046226350
1017068957920
117269a887a3
123384439200
1317c0388801
14b7cd0da00
1569d799030
hex3f963a0e0

17068957920 has 216 divisors, whose sum is σ = 67757946984. Its totient is φ = 3901459968.

The previous prime is 17068957909. The next prime is 17068957949. The reversal of 17068957920 is 2975986071.

17068957920 is a `hidden beast` number, since 1 + 7 + 0 + 68 + 9 + 579 + 2 + 0 = 666.

17068957920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50394 + ... + 191513.

It is an arithmetic number, because the mean of its divisors is an integer number (313694199).

Almost surely, 217068957920 is an apocalyptic number.

17068957920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17068957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33878973492).

17068957920 is an abundant number, since it is smaller than the sum of its proper divisors (50688989064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17068957920 is a wasteful number, since it uses less digits than its factorization.

17068957920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241942 (or 241924 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 17068957920 in words is "seventeen billion, sixty-eight million, nine hundred fifty-seven thousand, nine hundred twenty".